Standing waves and resonance frequency

[Niles]

Homework Statement

Hi all.

I have shown that standing waves occur on a string of length L (fastened at x=0 and x=L) for angular frequencies:

$$\omega_n=n\frac{v\pi}{L}.$$

Are these frequencies the same as the strings resonance frequencies?

Thanks in advance.

Regards,
Niles.

 

[LowlyPion]

Perhaps this link will help?
http://hyperphysics.phy-astr.gsu.edu/Hbase/Waves/standw.html

 

[Niles]

Hmm, not really. I'm just wondering if the above frequencies are the resonant frequencies of the string.

 

[Redbelly98]

Yes. According to LowlyPion's link, standing waves are pretty much synonymous with a string's resonant modes.

 

[NBAJam100]

Yes. According to LowlyPion's link, standing waves are pretty much synonymous with a string's resonant modes.

Im going to highjack this thread and say that redbelly has the best icon of all time... I am not sure why but I am laughing hysterically at the sight of a bird wrapped in Christmas lights hahah

 

[Niles]

Hmm, yeah.. I guess it does say indirectly.

Thanks to all.

 

[Redbelly98]

Im going to highjack this thread and say that redbelly has the best icon of all time...

Thanks!

Thanks to all.

You're welcome.